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29 September, 05:45

The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 4 is added to its denominator, the new number is ⅛. Find the rational number.

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  1. 29 September, 05:59
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    7/12.

    Step-by-step explanation:

    =x/x+5.

    x-5/x+5+4=⅛

    x-5/x+9=⅛

    x-5=⅛ (x+9)

    x-5=⅛x+1⅛

    x-⅛x=1⅛+5

    ⅞x=49/8

    7x=49

    x=7

    thus the initial fraction is x/x+5 = 7/12

    A rational number is a fraction
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